What is expression is equivalent to 5(9 t)

The data given to the right includes data from candies, and of them are red. The company that makes the candy claims that % of

Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

$n = 39, \pi = \frac{8}{39} = 0.2051$

Hence the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318$

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0

2 years ago

Answer attachment below 50 points + brainiest HURRY

sleet_krkn [62]

It’s c and i know cause i got it right

7 0

1 year ago

Two numbers have a difference of 17 and a sum of 23 which system of equations can be used to determine x and y the two numbers?

olga nikolaevna [1]

Answer:

d

Step-by-step explanation:

5 0

2 years ago

If the vertex of a parabola is (0, 3), what is the axis of symmetry

GREYUIT [131]

Answer:

The equation of the axis of symmetry for this parabola is x = 0.

Step-by-step explanation:

For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.

Now, the vertex is given as (0,3) which is at x = 0, y = 3.

Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

7 0

3 years ago

You are attending a college night. There is a different school in each classroom. Of the schools in attendance 30% had a sports

elixir [45]

Answer:

0.10

Step-by-step explanation:

Technically it's 0.12 but I only say this because they rounded by from 58 to 60 in their question

7 0

2 years ago